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Simplifying -3(d + -5) = 2(4d + -9) Reorder the terms: -3(-5 + d) = 2(4d + -9) (-5 * -3 + d * -3) = 2(4d + -9) (15 + -3d) = 2(4d + -9) Reorder the terms: 15 + -3d = 2(-9 + 4d) 15 + -3d = (-9 * 2 + 4d * 2) 15 + -3d = (-18 + 8d) Solving 15 + -3d = -18 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 15 + -3d + -8d = -18 + 8d + -8d Combine like terms: -3d + -8d = -11d 15 + -11d = -18 + 8d + -8d Combine like terms: 8d + -8d = 0 15 + -11d = -18 + 0 15 + -11d = -18 Add '-15' to each side of the equation. 15 + -15 + -11d = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -11d = -18 + -15 -11d = -18 + -15 Combine like terms: -18 + -15 = -33 -11d = -33 Divide each side by '-11'. d = 3 Simplifying d = 3
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